Signal Flow Graph Analysis of Linearized Takagi- Sugeno Fuzzy PI Controller
B. Amarendra Reddy, Praveen Adimulam, M. Sujatha · 2012
ABSTRACT: A systematic procedure for developing the signal flow graph model of linearized Takagi-Sugeno (TS) fuzzy PI controller is presented in this paper. This proposed method provides ease of model formulation and avoids the mathematical complexity involved in obtaining the linearized model from a non-linear model. As a first step in constructing the signal flow graph, the analytical structures of TS-fuzzy PI controller is needed. Triangular/trapezoidal membership functions are considered for input variables, Zadeh fuzzy logic AND operation and centroid defuzzifier, structural analysis of TS-fuzzy pi controller are considered. A TS-fuzzy PI controller is represented as a non-linear TS-fuzzy PI controller which is linearized around an operating point using perturbation method. For the linearized fuzzy TS-fuzzy PI controller signal flow graphs are developed. Key words:- TS-fuzzy, PI controller.